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4793472 = 27331973
BaseRepresentation
bin10010010010010010000000
3100000112102000
4102102102000
52211342342
6250424000
755513065
oct22222200
910015360
104793472
112784452
121732000
13cbaa98
148cac6c
1564a44c
hex492480

4793472 has 128 divisors (see below), whose sum is σ = 15096000. Its totient is φ = 1492992.

The previous prime is 4793471. The next prime is 4793489. The reversal of 4793472 is 2743974.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4 + 7 + 97 + 37 + 43 + 72 + 213 .

It is a nialpdrome in base 8 and base 13.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (4793471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65628 + ... + 65700.

Almost surely, 24793472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4793472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548000).

4793472 is an abundant number, since it is smaller than the sum of its proper divisors (10302528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4793472 is a wasteful number, since it uses less digits than its factorization.

4793472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 4793472 is about 2189.3999177857. The cubic root of 4793472 is about 168.6100271389.

The spelling of 4793472 in words is "four million, seven hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 73 76 96 108 114 128 144 146 152 171 192 216 219 228 288 292 304 342 384 432 438 456 513 576 584 608 657 684 864 876 912 1026 1152 1168 1216 1314 1368 1387 1728 1752 1824 1971 2052 2336 2432 2628 2736 2774 3456 3504 3648 3942 4104 4161 4672 5256 5472 5548 7008 7296 7884 8208 8322 9344 10512 10944 11096 12483 14016 15768 16416 16644 21024 21888 22192 24966 28032 31536 32832 33288 37449 42048 44384 49932 63072 65664 66576 74898 84096 88768 99864 126144 133152 149796 177536 199728 252288 266304 299592 399456 532608 599184 798912 1198368 1597824 2396736 4793472